103013413344 has 288 divisors, whose sum is σ = 307034896896. Its totient is φ = 32736337920.

The previous prime is 103013413339. The next prime is 103013413361. The reversal of 103013413344 is 443314310301.

103013413344 is a `hidden beast` number, since 1 + 0 + 301 + 3 + 4 + 13 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×103013413344² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87969879 + ... + 87971049.

It is an arithmetic number, because the mean of its divisors is an integer number (1066093392).

Almost surely, 2^103013413344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103013413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153517448448).

103013413344 is an abundant number, since it is smaller than the sum of its proper divisors (204021483552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103013413344 is a wasteful number, since it uses less digits than its factorization.

103013413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103013413344 its reverse (443314310301), we get a palindrome (546327723645).

The spelling of 103013413344 in words is "one hundred three billion, thirteen million, four hundred thirteen thousand, three hundred forty-four".